1. The problem statement, all variables and given/known data Consider a cannon on a 50m high cliff. The cannon shoots a cannonball with an initial speed of 200m/s at an angle of 30°, causing the cannonball to land 41m away from the cannon. What is the magnitude of the velocity of the cannonball the instance just before it hits the ground? a) -205m/s b) 205m/s c) 173m/s d) 267m/s 2. Relevant equations ax=0 ay=-g 1) Xf=Xi+Vixt 2) Yf=Yi+Viyt-½gt2 3) Vfy=Viy-gt 4) Vfy2=Viy2-2g(Yf-Yi) 3. The attempt at a solution Vi=200m/s Vix=200cos30 Viy=200sin30 Xi=0m Yi= 50m Xf=41m Yf= 0m In order to find the magnitude of Vf, I need to find its components, Vfx and Vfy. In projectile motion, Vfx=Vix=200cos30, so I just need to find Vfy. Using equation 1 to find time: t=41/(200cos30)= 0.2367s I then plugged time into equation 3 to find Vfy=200sin30-(9.8)(0.2367)= 97.68m/s So Vfx=200cos30= 173.2m/s and Vfy= 97.68m/s so Vf= √(Vfx2+Vfy2)= √(173.22+97.682)= 199 m/s I don't see where I'm going wrong, but 199m/s is not one of the 4 multiple choice answers. I would greatly appreciate any help.